0.4x + 28.5 = 281 Solve for x.

Henry has been typing a book report that contains 1250 words. So far he has been typing for 1/4 hour at a rate of 30 words per m

Rasek [7]

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Step-by-step explanation:

The given is:

Henry has been typing a book report that contains 1250 words
He has been typing for 1/4 hour at a rate of 30 words per minutes
He must type the remainder of the report in 25 more minutes

We need to find his rate to finish the remaining report in 25 minutes

∵ Henry has been typing for 1/4 hour at a rate of 30 words per minute

- We must to change $\frac{1}{4}$ hour to minutes

∵ 1 hour = 60 minutes

∴ $\frac{1}{4}$ hour = $\frac{1}{4}$ hour × 60 = 15 minutes

∴ He has been typing for 15 minutes at a rate of 30 words per minute

∵ The number of words has been typed = his rate × time

∴ The number of words has been typed = 30 × 15 = 450 words

∵ The book report that contains 1250 words

- Subtract the number of words has been typed from the total

words to find the remaining word in the book

∴ The remaining words = 1250 - 450 = 800 words

∵ He plans to finish them in 25 minutes

- Substitute the number of the remaining words and the time

in the rule above to find his rate

∵ 800 = his rate × 25

- Divide both sides by 25

∴ His rate = 32 words per minute

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Learn more:

You can learn more about the rate in brainly.com/question/10712420

#LearnwithBrainly

6 0

3 years ago

In the figure below, OS=ST and the coordinates of T are (k, 5). What is the value of K?

horsena [70]

Answer:

Option (K)

Step-by-step explanation:

From the figure attached,

Coordinates of the point T(x, y),

x-coordinate shows the distance (ST) of point T horizontally from origin and y-coordinate show the vertical distance (OS) of point T from the origin.

If OS = ST, x and y coordinates should be same in measure.

For the point (k, 5),

OS = 5 and ST = k

Since, OS = ST,

Therefore, k = 5

Option (K) will be the correct option.

6 0

3 years ago

I NEED ANSWER ASAP! I WILL GIVE BRAINELIEST!!!!!! Construct a right triangle whose legs are in the ratio 3:4. What are the ratio

Gala2k [10]

Answer:

3 : 5, 4: 5

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore, lengths of the legs of right triangle would be 3x and 4x

By Pythagoras Theorem:

${hyp}^{2} = {(3x)}^{2} + {(4x)}^{2} \\ = 9 {x}^{2} + 16 {x}^{2} \\ = 25 {x}^{2} \\ hyp = \sqrt{25 {x}^{2} } \\ hyp = 5x \\ \\ ratios \: of each \: leg \: to \: the \: hypotenuse \\ \frac{3x}{5x} = 3 : 5 \\ \\ \frac{4x}{5x} = 4 : 5$

5 0

3 years ago

Which choice is equivalent to the quotient below? √64/√4 a. √2 b. √4/4 c. √8/2 d. 4

Ksju [112]

Step-by-step explanation:

you did not even try a calculator to find the result ?

64 is 8×8 or 8².

so, sqrt(64) = 8.

similarly for 4 :

4 is 2×2 or 2².

so, sqrt(4) = 2

so,

sqrt(64)/ sqrt(4) = 8 / 2 = 4

so, d. is the right answer.

4 0

2 years ago

The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers

scoray [572]

Answer:

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

x = 3y +15
y = y

New equation is:

3y + 15 + y = 63

Combine like variables:

4y + 15 = 63

Solve:

4y + 15 - 15 = 63 - 15
4y = 48

Divide 4 from each side:

y = 12

To find x fill in the variables from the 'x =' equation:

x = 3y + 15
x = 3( 12) + 15
x = 51

3 0

3 years ago